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Finding the Fourth Proportional to 468,257.36, 646,196.06 and 253,397.50

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Solution

The fourth proportional to 468,257.36, 646,196.06 and 253,397.50 is: 349,689.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,257.36 : 646,196.06 = 253,397.50 : x
  2. Step 2: Convert to fraction form
    468,257.36/646,196.06 = 253,397.50/x
  3. Step 3: Cross multiply
    468,257.36x = 646,196.06 × 253,397.50
  4. Step 4: Simplify right side
    468,257.36x = 163,744,465,131.85
  5. Step 5: Solve for x
    x = 163,744,465,131.85/468,257.36
  6. Step 6: Final answer
    x = 349,689.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.